Transformations of linear Hamiltonian systems preserving oscillatory behaviour

Ondřej Došlý

Archivum Mathematicum (1991)

  • Volume: 027, Issue: 3-4, page 211-219
  • ISSN: 0044-8753

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Došlý, Ondřej. "Transformations of linear Hamiltonian systems preserving oscillatory behaviour." Archivum Mathematicum 027.3-4 (1991): 211-219. <http://eudml.org/doc/18334>.

@article{Došlý1991,
author = {Došlý, Ondřej},
journal = {Archivum Mathematicum},
keywords = {oscillatory behaviour; linear Hamiltonian system; transformation; duality; mutually reciprocal; Hamiltonian systems},
language = {eng},
number = {3-4},
pages = {211-219},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Transformations of linear Hamiltonian systems preserving oscillatory behaviour},
url = {http://eudml.org/doc/18334},
volume = {027},
year = {1991},
}

TY - JOUR
AU - Došlý, Ondřej
TI - Transformations of linear Hamiltonian systems preserving oscillatory behaviour
JO - Archivum Mathematicum
PY - 1991
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 027
IS - 3-4
SP - 211
EP - 219
LA - eng
KW - oscillatory behaviour; linear Hamiltonian system; transformation; duality; mutually reciprocal; Hamiltonian systems
UR - http://eudml.org/doc/18334
ER -

References

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  2. Atkinson F.V, Discrete and Continuous Boundary Value Problems, 1964, Acad. Press., New York. MR0176141
  3. Barrett J.H, Oscillation theory of ordinary differential equations, Adv. in Math., vol З, 1969, 415-509. (1969) MR0257462
  4. Coppel W.A., Disconjugacy, Lecture Notes in Math., 1971, Berlin - New York - Heidelbeгg. (1971) Zbl0224.34003MR0460785
  5. Došlá Z., Zezra P., Singular quadratic functionals with free endpoints, in preparation. 
  6. Došlý O., On transformation of self-adjoint differential systems and their reciprocals, Annal. Pol. Math. 50, 1990, 223-234. (1990) 
  7. Došlý O., On some properties of trigonometric matrices, Čas. pěst. mat., vol 112, 1987. (1987) Zbl0642.34024MR0897644
  8. Hartman P., Self-adjoint, non-oscillatory systems of ordinary, second order linear differential equations, Duke J. Math., vol 24, 1956, 25-35. (1956) MR0082591
  9. Jakubovič V.A., Oscillatory properties of solutions of canonical equations, Mat. Sb. (N. S.), vol 56, 1962, 3-42. (Russian) (1962) MR0138863
  10. Rasmussen C.H., Oscillation and asymptotic behaviour of systems of ordinary linear differential equations, T. A. M. S., vol 256, 1979, 1-48. (1979) 
  11. Reid W.T., Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York - Berlin - Heidelberg, 1980. (1980) Zbl0459.34001MR0606199
  12. Staněk S., Vosmanský J., Transformation of linear second order ordinary differential equations, Arch. Math., vol 22, 1986, 55-60. (1986) MR0868119

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